The theoretical study of the cooxidation of two oxidizable compounds, RH and R'H, is systematically carried out by using a general kinetic scheme and considering the different possible cases. In this study, it is assumed that the oxidation of RH in the absence of R'H takes place according ta a long-chain radical mechanism, whereas the oxidation of R'H in the absence of RH takes place according ta a radical mechanism by long chains, short chains or by steps. Based on this systematic study, some simple techniques are put forward for comparing experimental results and the proposed mechanism. The conclusions deduced from the latter are compared with the experimental results from the cooxidation of cumere and decalin.